Seating/false beats

Ron Nossaman nossaman@southwind.net
Wed, 23 Apr 1997 19:02:08 -0500 (CDT)


--=====================_861843220==_

Hi Richard,

You posted this privately. I hope you don't mind my tacking it up on the=
 public tree here, I thought it was worth a look by everyone.

Interesting possibilities here. I'm quite sure you are right about the=
 crush/retreat cycle crushing the string grooves to the edges more than the=
 center (not to mention the brain cramps, ouch!), but I think I have bad=
 news for you about the "strings not moving on the pins" part. =20

I decided it was probably time to stray a little from a purely logical=
 exercise and throw a little hardware into the mix. I went out in the shop=
 last night and pulled a half dozen bridge pins from various sections of a=
 S&S B. Guess what. All pins examined had extensive scrub tracks where the=
 strings had gone up and down the pins many times through the years. The=
 rear pins weren't as badly damaged, but plainly showed the same type of=
 tracks as the front pins. I'd say the extra front pin wear was the result=
 of taking more abuse from the speaking length during play. So far so good.=
 There were, however, some surprises. I had originally assumed the scuff=
 track would be roughly the same depth (wear into the pin) top to bottom.=
 Tain't so! The scuff track is distinctly pear shaped, worn much deeper at=
 the bottom than the top, especially in the front pins. I'm assuming here=
 that the string doesn't USUALLY hang up on the pins, but rather follows the=
 bridge top up and down. In this part of the country, the major=
 dry-to-medium fall/winter/spring humidity cycle is longer than the=
 high-to-swamp summer cycle. That would mean that the bridge would be shrunk=
 down more than pumped up. It sort of follows. There is one thing that=
 disturbs me. In the front pins, there is a huge burr at the bottom of the=
 skid track. looks like the string hammered itself down into=20the pin. I'm=
 thinking the bottom of the skid track represents the average low humidity=
 mark, where the string spent a lot of it's time through the winter. The pin=
 would wear most at that spot. The tendency of the string to go down the pin=
 would, in extraordinarily dry times, strand the string in the deepest part=
 of the skid track. It would float there, above the bridge, and beat the=
 bejeebers out of the bottom of the track until the humidity brought the=
 bridge surface back up to it.=20

I'm not sure here. There are a lot of factors at play beyond this point that=
 become very difficult to separate. It's like the "Here be Dragons" areas at=
 the edges of the old maps. We've been off the beaten path here for some=
 time. Beyond this point, I don't think we can get enough good data from=
 just one piano for too much extrapolation. If we had a look at an average=
 skid track, from each section both front and back, we would have some=
 ammunition. My basic premise of the humidity model has already taken us=
 farther than I ever expected. What we need now is a GRANT! Who's got about=
 half a mil and a lab we can use for a year or so? =20


I've attached a graphic b-pin.pcx (yes, it's safe to view!) showing what I=
 found in high tenor / low treble front pins.


Comments encouraged

Ron Nossaman




At 10:11 AM 4/23/97 +0100, you wrote:
>Ron,
>This has been a fascinating discussion. I think you are on the right
>track with the expansion and contraction of the bridge and soundboard
>causing this condition. I have a slightly different scenario to
>consider.
>
>Let me preface by saying I have a piano in the shop with significant
>negative bearing in the mid treble. The strings are actually hanging
>above the bridge surface. If I press the strings down to the bridge
>surface they will return up to the level they were originally which is
>as straight a line as possible (zero deflection). This tells me that
>there is insufficient friction in the stagger of the bridge pins in the
>vertical direction to hold the strings on the bridge pins in other than
>a condition of least deflection. Therefore my scenario as follows.
>
>The strings do not move on the bridge pins. As you suggested, as the
>bridge expands and contracts with changes in the humidity the cells
>under the wire will crush and retreat. This is the same action that
>causes tuning pins and screws to loosen and soundboard to crack. Because
>of the initial bearing of the strings on the edge of the bridge the
>grooves in the bridge will be wider and deeper at the edges of the
>bridge as we have observed.
>
>As the crush and retreat cycle continues the grooved edges of the bridge
>move further away from the wire. The wire has not moved up the pin, the
>bridge has moved down relative the wire/pin. At a certain point the
>grooves will be deep enough that the contact point of the wire on the
>bridge moves away from the notch inward toward the middle of the bridge
>surface. When this happens there becomes zero deflection of the wire
>from the surface of the bridge. There is still downbearing but it exists
>on an arched shaped bridge.
>
>It is in this condition of zero deflection at the bridge pin that we can
>tap the strings down to the bridge surface, but because this causes a
>deflection of the wire downward at the pin the wire will not stay there
>and will return to its original position on the pin eventually. When we
>seat strings we are not putting them back where they were. We are
>deflecting them down to a retreated/grooved/depressed/narrowed bridge.
>
>Must stop for now, getting brain cramps. What do you think?
>
>Richard Anderson, RPT
>Elgin, IL
>
>


--=====================_861843220==_
 x-mac-type="50435878"; x-mac-creator="474B4F4E"
Content-Disposition: attachment; filename="B-PIN1.PCX"
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--=====================_861843220==_

 Ron Nossaman
--=====================_861843220==_--





This PTG archive page provided courtesy of Moy Piano Service, LLC